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Search: id:A145290
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| A145290 |
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Numbers n such that prime[(n + 1)^2] - prime[n^2] is a perfect square. |
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+0
2
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| 2, 30, 32, 180, 269, 820, 1282, 1403, 2102, 2152, 2344, 2616, 4459, 6329, 6604, 7325, 7893, 9988, 10270, 10441, 10662, 11700, 11740, 11846, 12279, 18754, 18927, 23781, 27096, 27294, 27531, 31005, 33616, 36374, 38266, 43557, 43680, 44263, 45945
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OFFSET
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1,1
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COMMENT
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n such that A011757(n + 1) - A011757(n) is a perfect square
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EXAMPLE
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n = 2, prime[(n + 1)^2] - prime[n^2]=23 - 7 = 16 = 4^2; n = 30, prime[(n + 1)^2] - prime[n^2]=7573 - 6997 = 576 = 24^2
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MATHEMATICA
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Do[If[IntegerQ[Sqrt[Prime[(i + 1)^2] - Prime[i^2]]], Print[i]], {i, 1, 20000}]
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CROSSREFS
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A011757 prime(n^2)
Sequence in context: A071056 A075716 A022377 this_sequence A127026 A105962 A113695
Adjacent sequences: A145287 A145288 A145289 this_sequence A145291 A145292 A145293
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Oct 06 2008
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EXTENSIONS
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a(28)-a(39) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Sep 16 2009
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